000 01435 a2200205 4500
020 _a9781107033894
040 _cIIT Kanpur
041 _aeng
082 _a530.11
_bK926c
100 _aKroon, Juan A. Valiente
245 _aConformal methods in general relativity
_cJuan A. Valiente Kroon
260 _bCambridge University Press
_c2016
_aCambridge
300 _axxx, 594p
440 _aCambridge monographs on mathematical physics
490 _a/ edited by P. V. Landshaff
520 _aThis book offers a systematic exposition of conformal methods and how they can be used to study the global properties of solutions to the equations of Einstein's theory of gravity. It shows that combining these ideas with differential geometry can elucidate the existence and stability of the basic solutions of the theory. Introducing the differential geometric, spinorial and PDE background required to gain a deep understanding of conformal methods, this text provides an accessible account of key results in mathematical relativity over the last thirty years, including the stability of de Sitter and Minkowski spacetimes. For graduate students and researchers, this self-contained account includes useful visual models to help the reader grasp abstract concepts and a list of further reading, making this the perfect reference companion on the topic.
650 _aConformal geometry
650 _aConformal mapping
942 _cBK
999 _c558438
_d558438